In November
2005 Cole Wilcox and Eric Crittenden of Blackstar Funds LLC* (now Longboard
Asset Management) published a research report analyzing the effectiveness in
using a Trend Following trading
strategy in the US equity markets. Both
fund managers were using Trend Following successfully in the futures markets
for many years. Their success with Trend
Following, as well as their peer's results in similar markets,
piqued their curiosity and led them to conduct this research.
The strategy
tested is a long-only Trend Following program. Trend Following uses absolute
price change to delineate strength or weakness in a particular security. In
this case, the researchers added long exposure on positive absolute price
changes that resulted in an all-time high on a one week closing basis.
Before
actual testing began, Wilcox and Crittenden made sure to address any data
issues. For example, given the expansive time horizon for testing, the authors
account for security-specific corporate actions (e.g. stocks splits, mergers
and acquisitions), delisted companies were included to account for survivorship
bias**, liquidity filters were applied to include only stocks with enough daily
liquidity for institutional investors, and realistic transaction costs (i.e.
slippage and commissions) were also accounted for during the study.
The methods
and results are as follows:
Entry and
Exit:
Initial long
entries are taken when a stock reaches an all-time highest close on a weekly
basis. If today’s close is greater than
or equal to the highest close during the stock’s entire history then buy
tomorrow on the open. Additional longs
were added when subsequent weeks closed at new all-time highs.
Blackstar
Funds employed an Average True Range (ATR) for its trailing stops. This form of position level risk management is
universally applicable and commonly used to minimize position volatility and tailor risk management protocol for Trend Following systems. When trading, it is important to not risk too
much on any one position. Volatility adjusting the position size with an ATR is
an easy, yet effective way to keep your financial and emotional capital
unharmed.
Average True
Range is a derivative of the True Range indicator, which measures the daily
movement by calculating the greater absolute values of:
·
Today’s
high minus today’s low
·
Today’s
high minus yesterday’s close
·
Yesterday’s
close minus today’s low
A simple arithmetic average is then taken of the greater
of these values over a specified period (e.g. 10 week period). A stop loss level is
established through multiplying this ATR value by a constant (K) which is usually a value of 1, 2, or 3,
depending on the risk tolerance of the investor and time horizon for the
trading system, and then subtracting the product (i.e. K x ATR) from the
previous day’s high or entry price (for long positions).
When a stop
loss level was triggered, the researchers opted to exit a stock on the open the
day after the exit level was breached.
Expectancy
Study:
When
reviewing testing results it is best to take the average of all samples
(Trading Systems and Methods, Kaufman). The average trade results in this study
produced a distribution exhibiting positive skew and leptokurtosis (i.e. a fat
right tail). These results are not surprising given the premise behind Trend
Following is taking small losses (i.e. conservation of capital) while letting
winners run (i.e. capturing large outlier moves). The testing consisted of
24,000+ trades during a 22 year test period using 0.5% as the transaction cost
per round-turn. Specifically, the
results are as follows:
Average
Trade: +15.2% (i.e. positive expectancy)
Average Days
in Average Trade: 305
Average Winning
Trade: +51.2%
Average Days
in Winning Trade: 441 (i.e. “long-term” capital gains)
Average Losing
Trade: -20.0%
Average Days
in Losing Trade: 175
Winning
Percentage: 49.3% (Exceptionally high for a Trend Following system)
The ratio of
average winning trade to average losing trade was 2.56:1.00. Most trading
systems require a minimum of 2:1, so this strategy exceeds that criterion.
Moreover, it can be seen that the system yields a positive mathematical
expectancy of +15.2%. In other words, when analyzing the trading results for a
system it should show a positive return in order to actually generate a return
on investment.
While an ATR
of 10 was used for the test results above, the range spanned from 8 to 12. Lower ATR levels (tighter stop loss levels)
resulted in slightly lower winning percentages and slightly higher win/loss
ratios. The converse was true of higher
ATR levels (looser stops). The ideal ATR range will depend on the individual
investor’s risk preference and a selection of the most robust parameters given
different stop loss volatility ranges.
While there
are inherent limitations with the system tested, the Blackstar study provides
an excellent example for the process behind system design and testing. In other
words, all elements of system design were not addressed but the results help
prove the effectiveness of using a Trend Following strategy with US equities. It
would behoove traders read further into the study and to use this research
process as a template in their next system design and testing procedure.
As always,
please feel free to contact me with any comments or questions. Thanks for reading.
JD
*Blackstar
Funds LLC was initially backed by Tom Basso of TrendStat Capital Management.
Tom was featured in The New Market Wizards by Jack Schwager, which profiled
some of the most consistently successful traders up until 1992. While Blackstar
was in existence, Tom acted as an advisor to Cole and Eric.
**Survivorship
bias impacts indices where constituents that have been delisted due to
bankruptcy or poor performance are no longer represented in a sample. This
results in an overestimation of past performance.
JD,
ReplyDeleteI realize this is an old blog post but do you happen to have a copy of the research report? The link is broken on Tom's Wiki page to the report as well
Thanks!
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